6339791888640 has 1728 divisors, whose sum is σ = 26821431576576. Its totient is φ = 1352308359168.

The previous prime is 6339791888627. The next prime is 6339791888671. The reversal of 6339791888640 is 468881979336.

6339791888640 is a `hidden beast` number, since 6 + 339 + 79 + 188 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×6339791888640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7432346454 + ... + 7432347306.

It is an arithmetic number, because the mean of its divisors is an integer number (15521661792).

Almost surely, 2^{6339791888640} is an apocalyptic number.

6339791888640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6339791888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410715788288).

6339791888640 is an abundant number, since it is smaller than the sum of its proper divisors (20481639687936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6339791888640 is a wasteful number, since it uses less digits than its factorization.

6339791888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 6339791888640 in words is "six trillion, three hundred thirty-nine billion, seven hundred ninety-one million, eight hundred eighty-eight thousand, six hundred forty".